Utility functions and the order type of the continuum

DOI10.1016/0304-4068(94)90021-3zbMath0819.90005OpenAlexW2092631159MaRDI QIDQ1340084

Ghanshyam B. Mehta, Alan F. Beardon

Publication date: 11 December 1994

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4068(94)90021-3

zbMATH Keywords

utility functionsorder typelinear continuumcontinuous isotone real-valued functionsecond countable topological pre-ordered space

Mathematics Subject Classification ID

Utility theory (91B16)

Related Items (5)

The Debreu Gap Lemma and some generalizations ⋮ On some equivalent approaches to mathematical utility theory ⋮ Order embeddings with irrational codomain: Debreu properties of real subsets ⋮ Continuity and Continuous Multi-utility Representations of Nontotal Preorders: Some Considerations Concerning Restrictiveness ⋮ Open gaps, metrization and utility

Cites Work

• On the existence of utility functions. II
• On the existence of utility functions
• Abstract set theory. 4th rev. ed. Revised by Azriel Levy
• Continuous and Semi-Continuous Utility
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